Graphs Practice Questions

1. According to the bar graph, what was the approximate population of the city in 1970?

832

1,154

832,000

1,054,000

1,154,000

2. In what decade did the city experience the greatest population increase?

1950 to 1960

1960 to 1970

1970 to 1980

1980 to 1990

1990 to 2000

3. By approximately how much did the population of the city decrease between 1970 and 1980?

55

150

9,000

60,000

100,000

Use this pie chart to answer questions 4-6.

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4. If the family spent a total of $60,000 this year, about how much of it was spent on food?

$7,800

$9,000

$10,200

$12,600

$13,200

5. If in a given year the family spent $15,028 on transportation, what was its total budget for the year?

$75,140

$88,400

$90,168

$115,600

$120,224

6. If in a given year the family spent $4,500 on healthcare, how much did the family spend on housing?

$1,755

$4,500

$15,600

$17,500

$19,500

7. Find the coordinates of vertices of the triangle below.

(-3,3), (2,2), and (-1,2)

(-3,3), (2,2), and (2,-1)

(3,3), (3,2), and (2,-1)

(3,-3), (2,2), and (-1,2)

(3,-3), (3,2), and (2,-1)

Use the line graph to answer questions 8-10.

8. During which period did the revenue of the company decline?

1985 to 1986

1986 to 1987

1987 to 1988

1988 to 1989

1989 to 1990

9. Profit can be found by subtracting costs from revenue. During which period did the company make the greatest profit?

1985 to 1986

1986 to 1987

1987 to 1988

1988 to 1989

1989 to 1990

10. During what period did the company expand its production the most?

1985 to 1986

1986 to 1987

1987 to 1988

1988 to 1989

1989 to 1990

Answer Key

1. E. The bar graph gives the population of the city in thousands for six years. Find the bar that represents the year 1970. Then use the y-axis to find the population of the city in that year. Since the height is about 1,154, the population of the city in 1970 was about 1,154,000.

2. D. The bar graph gives the population of the city in thousands for six years. To estimate changes in population over any particular decade, compare the heights of two adjacent bars. Notice that the biggest increase occurred between the years 1980 and 1990. In this period, the population went from about 1,095,000 people to about 1,366,000.

3. D. The bar graph gives the population of the city in thousands for six years. First estimate the population of the city in the years 1970 and 1980. The population in 1970 is approximately 1,150,000 people. The population in 1980 is close to 1,100,000, so estimate it as about 1,090,000 people. Subtract these two populations to find the decrease in population.

1,150,000 - 1,090,000 = 60,000

4. A. The pie chart gives the percentage of the family’s budget that is spent in six different categories. Notice that food takes up 13% of the budget. Therefore, multiply 0.13 (the decimal equivalent of 13%) by $60,000.

0.13 x$60,000 = $7,800

Thus, the family spent about $7,800 on food.

5. B. The pie chart gives the percentage of the family’s budget that is spent in six different categories. From the pie chart, transportation takes up 17% of the family budget. Set up an equation, using x for the family’s total budget for the year. Then solve for x by dividing.

Therefore, the family’s total budget is $88,400.

6. E. The pie chart gives the percentage of the family’s budget that is spent in six different categories. First determine the family’s yearly budget if they spent $4,500 on healthcare. From the pie chart, healthcare takes up 9% of their budget. Set up an equation, using x for the family’s total budget for the year. Then solve for x by dividing.

Therefore, the family’s yearly budget is $50,000. To answer the question, find the amount of this they spend on housing. From the chart, housing takes up 39% of their budget. Therefore, multiply 0.39 by $50,000.

0.39 x $50,000 = $19,500

Thus, if the family spent $4,500 on healthcare, then they also spent $19,500 on housing.

7. B. The coordinates of a point take the form (x,y), where the x-coordinate is the distance to the left or right of the y-axis and the y-coordinate is the distance above or below the x-axis. In addition, if x is negative, the point is to the left of the y-axis; otherwise, it is to the right. If y is negative, the point is below the x-axis; otherwise, the point is above it.

Examine the given points. Notice that the topmost point is 3 units to the left of the y-axis and 3 units above the x-axis. Therefore, its coordinates are (-3,3). The coordinates of the other two points are (2,2) and (2,-1).

8. B. The line graph shows the revenue and costs of a small company between the years 1984 and 1990. To estimate changes in revenue over any over the course of a year, look at the blue line. Notice that the only place the line goes down is between the years 1986 and 1987. Therefore, the revenue decreased during this period.

9. E. The line graph shows the revenue and costs of a small company between the years 1984 and 1990. Since profit is revenue minus costs, it is represented in the graph by the vertical distance between the two lines. Notice that this distance seems to be greatest between the years 1989 and 1990. Therefore, the company made the greatest profit between those years.

10. D. The line graph shows the revenue and costs of a small company between the years 1984 and 1990. When a company expands its production, its operation costs typically increase . Therefore, the company expanded its production between 1988 and 1989, the period in which costs increased the most.